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Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions

G. Niesi·L. Robbiano
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Abstract

In this paper we show how to combine different techniques from Commutative Algebra and a systematic use of a Computer Algebra System (in our case mainly CoCoA) in order to explicitly construct Cohen-Macaulay domains, which are standard $k$-algebras and whose Hilbert function is ``bad". In particular we disprove a well-known conjecture by Hibi.

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BibTeXRIS

G. Niesi, L. Robbiano. 1992-02-20. Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions. https://arxiv.org/abs/alg-geom/9202020

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